What multiples to - 60 and adds to - 28

So xy=-60 and x+y=-28

x+y=-28 also means x=-28-y

subsitute x=-28-y for x in xy=-60

(-28-y) y=-60

-28y-y^2=-60

add negative y^2 to both sides

-28y=-60+y^2

add 28y to both sides

0=y^2+28y-60

factor

0 = (x-2) (x+30)

we set them to zero

x-2=0

x=2

x+30=0

x=-30

the numbers could be - 30 and 2